Finding the Fourth Proportional to 10,947.15, 16,414.65 and 4,706.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,947.15 : 16,414.65 = 4,706.10 : x
2. Step 2: Convert to fraction form
   10,947.15/16,414.65 = 4,706.10/x
3. Step 3: Cross multiply
   10,947.15x = 16,414.65 × 4,706.10
4. Step 4: Simplify right side
   10,947.15x = 77,248,984.37
5. Step 5: Solve for x
   x = 77,248,984.37/10,947.15
6. Step 6: Final answer
   x = 7,056.54